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| Presentation | 2020-09-01 14:40 Complexity of Colored Token Shifting on Graphs Sai Kwon Kham, Ryuhei Uehara (JAIST)  COMP2020-6 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Variations of reconfiguration problems are much of interest and important problems in theoretical computer science. The problem involves transforming feasible configurations step-by-step from one to another while keeping intermediate configurations feasible. In this paper, we study color shifting problems which are one of such graph reconfiguration problems. We define the problem as the problem of transforming an initial color token placement to a target color token placement of a give graph using two simple operations: “shifting token” and “flipping token”. We call our problem c-COLORED TOKEN SHIFTING if the reconfiguration operation is done by “shifting token” and c-COLORED TOKEN FLIPPING if it is done by “flipping token”, while the colors are chosen from {1,2,...,c}. We show 2-COLORED TOKEN SHIFTING is NP-Complete. We also present that 2-COLORED TOKEN SHIFTING on complete graphs is fixed-parameter tractable when c is the parameter and c-COLORED TOKEN FLIPPING on general graphs is solvable in O(n^3) time. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | computational complexity / reconfiguration problem / token shifting / token flipping / cycle / path / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 152, COMP2020-6, pp. 1-8, Sept. 2020. | |
| Paper # | COMP2020-6 | |
| Date of Issue | 2020-08-25 (COMP) | |
| ISSN | Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | COMP2020-6 |
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| Conference Information | |
| Committee | COMP IPSJ-AL |
| Conference Date | 2020-09-01 - 2020-09-02 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2020-09-COMP-AL |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Complexity of Colored Token Shifting on Graphs |
| Sub Title (in English) | |
| Keyword(1) | computational complexity |
| Keyword(2) | reconfiguration problem |
| Keyword(3) | token shifting |
| Keyword(4) | token flipping |
| Keyword(5) | cycle |
| Keyword(6) | path |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Sai Kwon Kham |
| 1st Author's Affiliation | Japan Advanced Institute of Science and Technology (JAIST) |
| 2nd Author's Name | Ryuhei Uehara |
| 2nd Author's Affiliation | Japan Advanced Institute of Science and Technology (JAIST) |
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| Speaker | Author-1 |
| Date Time | 2020-09-01 14:40:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2020-6 |
| Volume (vol) | vol.120 |
| Number (no) | no.152 |
| Page | pp.1-8 |
| #Pages | 8 |
| Date of Issue | 2020-08-25 (COMP) |
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